212464864000 has 72 divisors (see below), whose sum is σ = 529276614048. Its totient is φ = 84985932800.

The previous prime is 212464863979. The next prime is 212464864013. The reversal of 212464864000 is 468464212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3287764 + ... + 3351763.

It is an arithmetic number, because the mean of its divisors is an integer number (7351064084).

Almost surely, 2^212464864000 is an apocalyptic number.

212464864000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212464864000 is an abundant number, since it is smaller than the sum of its proper divisors (316811750048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212464864000 is an frugal number, since it uses more digits than its factorization.

212464864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639558 (or 6639534 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 212464864000 in words is "two hundred twelve billion, four hundred sixty-four million, eight hundred sixty-four thousand".